Find the domain and the vertical asymptote of the function.f(x) = 2 - log2x

A. Domain: (2, ?); vertical asymptote: x = 2
B. Domain: [0, ?); vertical asymptote: none
C. Domain: [0, ?); vertical asymptote: x = 0
D. Domain: (0, ?); vertical asymptote: x = 0


Answer: D

Mathematics

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Find the divergence of the field F.F = -6x7i - 7y7j - 4z7k

A. 0 B. -6x6 - 7y6 - 4z6 C. -119 D. -42x6 - 49y6 - 28z6

Mathematics

The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by




where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week. The total weekly cost attributable to the manufacture of these desks is given by



dollars. Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit. What is the maximum profit(P) realizable?


A. x = 220; y = 80; P = 12,045
B. x = 80; y = 220; P = 12,045
C. x = 300; y = 0; P = 11,800
D. x = 220; y = 80; P = 11,800

Mathematics

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.49x2 - 1

A. (7x - 1)2 B. (7x + 1)(7x - 1) C. (7x + 1)2 D. Prime

Mathematics

Round to the indicated place value.Round to the nearest one: 720.856

A. 720 B. 720.9 C. 721

Mathematics